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Finding the Fourth Proportional to 11,038.74, 16,559.02 and 3,141.84

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Solution

The fourth proportional to 11,038.74, 16,559.02 and 3,141.84 is: 4,713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.74 : 16,559.02 = 3,141.84 : x
  2. Step 2: Convert to fraction form
    11,038.74/16,559.02 = 3,141.84/x
  3. Step 3: Cross multiply
    11,038.74x = 16,559.02 × 3,141.84
  4. Step 4: Simplify right side
    11,038.74x = 52,025,791.40
  5. Step 5: Solve for x
    x = 52,025,791.40/11,038.74
  6. Step 6: Final answer
    x = 4,713.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.